Diana Raffman

accounts in general, contrary to what he seems to think. Stanley’s discussion concerns the dynamic or ‘forced march’ version of the sorites, viz. the version framed in terms of the judgments that would be made by a competent speaker who proceeds step by step along a sorites series for a vague predicate ‘F’. According to Stanley, the contextualist treatment of the paradox is based on the idea that the speaker shifts the content of the predicate whenever necessary to make it the case that each successive pair of adjacent items are category-identical – in other words, either both items satisfy ‘F’ or neither does. These adjustments allow the speaker to progress from a clear case for ‘F’ to a clear case for ‘not-F’ without breaking the seeming continuity of the series.

It is generally agreed that vague predicates like ‘red’, ‘rich’, ‘tall’, and ‘bald’, have borderline cases of application. For instance, a cloth patch whose color lies midway between a definite red and a definite orange is a borderline case for ‘red’, and an American man five feet eleven inches in height is (arguably) a borderline case for ‘tall’. The proper analysis of borderline cases is a matter of dispute, but most theorists of vagueness agree at least in the thought that borderline cases for vague predicate ‘ ’ are items whose satisfaction of ‘ ’ is in some sense unclear or problematic: it is unclear whether or not the patch is red, unclear whether or not the man is tall.1 For example, Lynda Burns cites a widespread view as holding that borderline cases “are not definitely within the positive or negative extension of the predicate. … Border- line cases are seen as falling within a gap between the cases of definite application of the predicate and cases of definite application of its negation” (1995, 30). Michael Tye writes that the “concept of a border- line case is the concept of a case that is neither definitely in nor defi- nitely out” (1994b, 18).

David Papineau’s Thinking About Consciousness tells a skillful, inventive, and plausible story about why, given that the phenomenal character of conscious experience is an unproblematically physical property, we continue to suffer from “intuitions of dualism”. According to Papineau, we are misled by the peculiar structure of the phenomenal concepts we use to introspect upon that phenomenal character. Roughly: unlike physical concepts, phenomenal concepts exemplify the kind of experience they are concepts of; and this creates the mistaken impression that the physical concepts leave something out. I find much of Papineau’s account congenial, though I have some questions about his characterization of phenomenal concepts. I will take up two of these questions here. On Papineau’s view, phenomenal concepts are mental terms that are formed by concatenating an experience operator, namely ‘the experience: —’, together with “an actual state of… perceptual classification” (115). The latter state, itself an experience, fills the blank in the experience operator; and the concept thus formed refers to the type of experience whose instances are relevantly similar to that perceptual filling.1 Papineau writes

Philosophers of music (and also music theorists) have recognized for a long time that research in the sciences, especially psychology, might have import for their own work. (Langer 1941 and Meyer 1956 are good examples.) However, while scientists had been interested in music as a subject of research (e.g., Helmholtz 1912, Seashore 1938), the discipline known as psychology of music, or more broadly cognitive science of music, came into its own only around 1980 with the publication of several landmark works. Among the most important of these were The Psychol- ogy of Music (1980), a collection of papers edited by the psychologist Diana Deutsch, and A Generative Theory of Tonal Music (1983) by music theorist and composer Fred Lerdahl and linguist Ray Jackendoff. These works and others made possible the first attempts to apply scientific research to philosophical issues concerning music (e.g., Raffman 1993, DeBellis 1995). Since the 1980’s, of course, a great deal of research has been done in cognitive science, philosophy, and music. For philosophers, there are perhaps three topics with respect to which findings in the cognitive sciences are most likely to be germane—the nature of musical understanding, the role of emotions or feelings in music, and the evaluation of musical works. This brief overview will describe some of the scientific research that has been done on these topics, and then indicate how it might be philosophically significant.

This paper develops the treatment of vague predicates begun in my "Vagueness Without Paradox" (Philosophical Review 103, 1 [1994]). In particular, I show how my account of vague words dissolves an "eternal" version of the sorites paradox, i.e., a version in which the paradox is generated independently of any particular run of judgments of the items in a sorites series. In so doing I refine the notion of an internal contest, introduced in the earlier paper, and draw a distinction within the class of internal contexts between contexts of judgment and contexts of consideration

The paper is a response to Davies, arguing that he misdiagnoses the difficulties with the architecturalist and externalist arguments he targets. Whether or not there are independent grounds for the principles limiting the transfer of epistemic warrant across known entailments, the problem with both types of argument is that they equivocate. It is shown that, in each case, if the premise I have mental property M, expresses something about which the subject is non‐empirically authoritative, it should be viewed as empty of subtantial empirical content; whereas if premise If I have mental property M, then I meet condition C, expresses something knowable a priori, then since its consequent involves substantial empirical content, so must the antecedent. Hence, the modus ponens step is flawed because of equivocation.

Of the many families of words that are thought to be vague, so-called observational predicates may be both the most fascinating and the most confounding. Roughly, observational predicates are terms that apply to objects on the basis of how those objects appear to us perceptually speaking. ‘Red’, ‘loud’, ‘sweet’, ‘acrid’, and ‘smooth’ are good examples. Delia Graff explains that a “predicate is observational just in case its applicability to an object (given a fixed context of evaluation) depends only on the way that object appears” (2001, 3). By the same token observational predicates are, as Crispin Wright observes, terms “whose senses are taught entirely by ostension” (1976). Like other vague predicates, observational words appear to generate sorites paradoxes. Consider for example a series of 20 colored patches progressing from a clearly red one to a clearly orange one, so ordered that each patch is just noticeably different in hue from the one before. The following argument then seems forced upon us: (1) Patch #1 is red. (2) Any patch that differs only slightly in hue from a red patch is itself red. (3) Therefore patch #20 is red. Premise (2) expresses what Wright has called the tolerance of ‘red’: the application of the predicate tolerates small changes in a decisive parameter (here, hue). Of course, most vague predicates, hence most versions of the sorites, are not observational. For instance, given a series of.

Worries about the artistic integrity (for lack of a better term) of twelve-tone music are not new. Critics, philosophers, musicians, even composers them- selves have assailed the idiom with a fervor usually reserved for individual artists or works. Just why it is supposed to be defective is not entirely clear, however. I want to revisit these questions by way of putting some insights from music history and theory together with some insights from the philosophy and psychology of music. To find out whether twelve-tone composition is defective we will need to reflect carefully upon our concepts of music and art in general, so if all goes well our conclusions should have some broader import. Because I will be pulling together considerations from several domains, I will need to lay a fair amount of groundwork at the beginning; but once that is done, we will have a vantage on the present issues that would not otherwise be open to us.

Higher-order vagueness is widely thought to be a feature of vague predicates that any adequate theory of vagueness must accommodate. It takes a variety of forms. Perhaps the most familiar is the supposed existence, or at least possibility, of higher-order borderline cases—borderline borderline cases, borderline borderline borderline cases, and so forth. A second form of higherorder vagueness, what I will call ‘prescriptive’ higher-order vagueness, is thought to characterize complex predicates constructed from vague predicates by attaching operators having to do with the predicates’ proper application. For example, the predicates ‘mandates application of “old”’ and ‘can competently be called “old”’ are prescriptively higher-order vague. Higher-order vagueness appears in other guises as well,1 but these two have been of particular interest to philosophers and will be my target here. I want to expose some misconceptions about them. If I am right, higher-order vagueness is less prevalent, and less important theoretically, than is usually supposed.2 In what follows I am going to assume that vagueness is a semantic feature of natural language. For the most part I won’t discuss epistemic or pragmatic views, and I will say nothing about so-called metaphysical vagueness.